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136,849

136,849 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

136,849 (one hundred thirty-six thousand eight hundred forty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21691.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
31
Digit product
5,184
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
948,631
Square (n²)
18,727,648,801
Cube (n³)
2,562,860,010,768,049
Divisor count
2
σ(n) — sum of divisors
136,850
φ(n) — Euler's totient
136,848

Primality

136,849 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 136849
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 136,849)
1 × 136849
First multiples
136,849 · 273,698 (double) · 410,547 · 547,396 · 684,245 · 821,094 · 957,943 · 1,094,792 · 1,231,641 · 1,368,490

Sums & aliquot sequence

As a sum of two squares: 255² + 268²
As consecutive integers: 68,424 + 68,425

Continued fraction of √n

√136,849 = [369; (1, 13, 1, 1, 29, 12, 1, 17, 1, 1, 2, 1, 10, 3, 18, 5, 1, 3, 2, 1, 2, 2, 5, 17, …)]

Representations

In words
one hundred thirty-six thousand eight hundred forty-nine
Ordinal
136849th
Binary
100001011010010001
Octal
413221
Hexadecimal
0x21691
Base64
AhaR
One's complement
4,294,830,446 (32-bit)
Scientific notation
1.36849 × 10⁵
As a duration
136,849 s = 1 day, 14 hours, 49 seconds
In other bases
ternary (3) 20221201111
quaternary (4) 201122101
quinary (5) 13334344
senary (6) 2533321
septenary (7) 1106656
nonary (9) 227644
undecimal (11) 938a9
duodecimal (12) 67241
tridecimal (13) 4a39b
tetradecimal (14) 37c2d
pentadecimal (15) 2a834

As an angle

136,849° = 380 × 360° + 49°
49° ≈ 0.855 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλϛωμθʹ
Mayan (base 20)
𝋱·𝋢·𝋢·𝋩
Chinese
一十三萬六千八百四十九
Chinese (financial)
壹拾參萬陸仟捌佰肆拾玖
In other modern scripts
Eastern Arabic ١٣٦٨٤٩ Devanagari १३६८४९ Bengali ১৩৬৮৪৯ Tamil ௧௩௬௮௪௯ Thai ๑๓๖๘๔๙ Tibetan ༡༣༦༨༤༩ Khmer ១៣៦៨៤៩ Lao ໑໓໖໘໔໙ Burmese ၁၃၆၈၄၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡚑
CJK Unified Ideograph-21691
U+21691
Other letter (Lo)

UTF-8 encoding: F0 A1 9A 91 (4 bytes).

Hex color
#021691
RGB(2, 22, 145)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.22.145.

Address
0.2.22.145
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.22.145

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 136,849 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 136849 first appears in π at position 446,630 of the decimal expansion (the 446,630ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.